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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.a80f.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {-(7/2), 13/4}, -z] == (1/(56371445760 z^(9/4))) (Sqrt[Pi] (26233601625 + 21899354400 z + 46103904000 z^2 - 21856665600 z^3 + 3406233600 z^4 - 283115520 z^5 + 16777216 z^6) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((26233601625 - 6083154000 z + 1665538560 z^2 - 233349120 z^3 + 18677760 z^4 - 1048576 z^5) Cos[2 Sqrt[z]] + 4 Sqrt[z] (8744533875 + 3302283600 z - 1415877120 z^2 + 216637440 z^3 - 17891328 z^4 + 1048576 z^5) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02